4:5:6:7:9: Difference between revisions

Overthink (talk | contribs)
Expanded description
Overthink (talk | contribs)
+ notes on extensions and see also section
Line 1: Line 1:
{{Infobox Chord|ColorName=yo zo-7 add-9 or y,z7,9, har-9 or h9}}
{{Infobox Chord|ColorName=yo zo-7 add-9 or y,z7,9, har-9 or h9}}


'''4:5:6:7:9''', the ''harmonic ninth chord'', is a [[pentad]] in [[7-limit]] harmony. It serves as the fundamental otonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions. Its utonal inverse, [[140:180:210:252:315|1/(4:5:6:7:9)]], can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 4:5:6:7:9 chord can be modified to get its utonal inverse by inflecting both the third and seventh up by [[36/35]], so the third becomes [[9/7]] and the seventh [[9/5]].  
'''4:5:6:7:9''', the ''harmonic ninth chord'', is a [[pentad]] in [[7-limit]] harmony. It serves as the fundamental otonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions. Its utonal inverse, [[140:180:210:252:315|1/(4:5:6:7:9)]], can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 4:5:6:7:9 chord can be modified to get its utonal inverse by inflecting both the third and seventh up by [[36/35]], so the third becomes [[9/7]] and the seventh [[9/5]]. It is an extension of [[4:5:6]] and [[4:5:6:7]].
 
== See also ==
 
* [[4:5:6:7:9:11]] - (11-limit)
* [[Otonalpentad]] - This chord as a scale


[[Category:Todo:expand]]
[[Category:Todo:expand]]